{"title":"序对称对策","authors":"Zhigang Cao, Xiaoguang Yang","doi":"10.2139/ssrn.3206379","DOIUrl":null,"url":null,"abstract":"Abstract We extend the notion of an ordinally symmetric game of Osborne and Rubinstein (1994) from two to n players. We prove that each ordinally symmetric game with two strategies is an ordinal potential game and thus possesses a pure strategy Nash equilibrium, generalizing a result of Hofbauer and Sorger (2002) on symmetric games.","PeriodicalId":393761,"journal":{"name":"ERN: Other Game Theory & Bargaining Theory (Topic)","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2018-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Ordinally Symmetric Games\",\"authors\":\"Zhigang Cao, Xiaoguang Yang\",\"doi\":\"10.2139/ssrn.3206379\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract We extend the notion of an ordinally symmetric game of Osborne and Rubinstein (1994) from two to n players. We prove that each ordinally symmetric game with two strategies is an ordinal potential game and thus possesses a pure strategy Nash equilibrium, generalizing a result of Hofbauer and Sorger (2002) on symmetric games.\",\"PeriodicalId\":393761,\"journal\":{\"name\":\"ERN: Other Game Theory & Bargaining Theory (Topic)\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-07-02\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"ERN: Other Game Theory & Bargaining Theory (Topic)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.2139/ssrn.3206379\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"ERN: Other Game Theory & Bargaining Theory (Topic)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2139/ssrn.3206379","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Abstract We extend the notion of an ordinally symmetric game of Osborne and Rubinstein (1994) from two to n players. We prove that each ordinally symmetric game with two strategies is an ordinal potential game and thus possesses a pure strategy Nash equilibrium, generalizing a result of Hofbauer and Sorger (2002) on symmetric games.